[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2003.18.3.485

COMPACT INTERPOLATION FOR VECTORS IN TRIDIAGONAL ALGEBRA

Jo, Young-Soo (Department of Mathematics Keimyung University)
Kang, Joo-Ho (Department of Mathematics Taegu University)

Publication Information

Communications of the Korean Mathematical Society / v.18, no.3, 2003 , pp. 485-490 More about this Journal

Abstract

Given vectors x and y in a Hilbert space, an interpolating operator is a bounded operator T such that Tx = y. An interpolating operator for n vectors satisfies the equation $Tx_i=y_i$ , for i, = 1,2,…,n. In this article, we investigate compact interpolation problems in tridiagonal algebra : Given vectors x and y in a Hilbert space, when is there a compact operator A in a tridiagonal algebra such that Ax = y?

Keywords

compact interpolation; CSL-algebra; tridiagonal algebra; AlgL;

Citations & Related Records

Reference

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